1. Euler Buckling on Curved Surfaces
   2025/03/06 by Shiheng Zhao, Si-Lu Zhao, Zhao, Shiheng +2 · 2 voices · 1 citation
   Engineering · Physics and Astronomy · #Advanced Materials and Mechanics #Bifurcation #Buckle #Buckling #Composite Structure Analysis and Optimization #Compression (physics) #Elastic instability #Elasticity and Material Modeling #Euler's formula #Instability #Nonlinear system #cond-mat.soft #physics.bio-ph
2. A bifurcation diagram of solutions to semilinear elliptic equations with general supercritical growth
   2024/06/27 by Yasuhito Miyamoto, Yūki Naito · 5 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Applied mathematics #Bifurcation #Bifurcation diagram #Diagram #Mathematical analysis #Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Nonlinear system #Physics #Statistics #Supercritical fluid #Thermodynamics
3. A Blue Sky Bifurcation in the Dynamics of Political Candidates
   2023/12/15 by Christoph Börgers, Bruce Boghosian, Bruce M. Boghosian +2 · 1 citation
   Decision Sciences · Economics, Econometrics and Finance · Physics and Astronomy · #Acoustics #Bifurcation #Complex Systems and Time Series Analysis #Dynamics (music) #Game Theory and Applications #Geography #Law #Meteorology #Nonlinear system #Opinion Dynamics and Social Influence #Physics #Political science #Politics #Sky
4. Degenerate Bogdanov-Takens bifurcation of codimension 4 in Holling-Tanner model with harvesting
   2022/01/19 by Chuang Xiang, Min Lu, Min Lü +1 · 3 citations
   Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Medicine · #Algebraic number #Applied mathematics #Bifurcation #Bogdanov–Takens bifurcation #Codimension #Constant (computer programming) #Degenerate energy levels #Evolution and Genetic Dynamics #Homoclinic bifurcation #Homoclinic orbit #Hopf bifurcation #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Pure mathematics
5. Homoclinic bifurcation of limit cycles in near-Hamiltonian systems on the cylinder
   2021/10/04 by Yixia Shi, Maoan Han, Lijun Zhang · 1 citation
   Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Bifurcation #Bifurcation theory #Cylinder #Geometry #Hamiltonian system #Heteroclinic bifurcation #Homoclinic bifurcation #Homoclinic orbit #Infinite-period bifurcation #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Nonlinear system #Physics #Quantum chaos and dynamical systems
6. Bifurcation of small limit cycles in cubic integrable systems using higher-order analysis
   2018/02/01 by Yun Tian, Pei Yu · 1 citation
   Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Differential Equations and Dynamical Systems #Applied mathematics #Bifurcation #Infinite-period bifurcation #Integrable system #Limit (mathematics) #Limit cycle #Lipid metabolism and biosynthesis #Mathematical analysis #Mathematics #Nonlinear system #Order (exchange) #Physics #Saddle-node bifurcation
7. A limit equation and bifurcation diagrams of semilinear elliptic equations with general supercritical growth
   2017/11/09 by Yasuhito Miyamoto · 8 citations
   Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Bifurcation #Elliptic curve #Infinity #Limit (mathematics) #Mathematical analysis #Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Nonlinear system #Physics #Similarity solution #Transformation (genetics)
8. Hopf and homoclinic bifurcations for near-Hamiltonian systems
   2016/11/30 by Yun Tian, Maoan Han · 2 citations
   Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Differential Equations and Dynamical Systems #Bifurcation #Hamiltonian (control theory) #Hamiltonian system #Homoclinic bifurcation #Homoclinic orbit #Hopf bifurcation #Limit (mathematics) #Mathematical analysis #Mathematical optimization #Mathematical physics #Mathematics #Microtubule and mitosis dynamics #Nonlinear system #Physics #Planar #Pure mathematics #Quantum mechanics
9. Einstein’s field equations as a fold bifurcation
   2016/07/03 by Ikjyot Singh Kohli, Michael C. Haslam · 1 citation
   Mathematics · Physics and Astronomy · #Bifurcation #Bifurcation theory #Black Holes and Theoretical Physics #Classical mechanics #Cosmological constant #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Einstein #Einstein field equations #Friedmann–Lemaître–Robertson–Walker metric #Galaxies: Formation, Evolution, Phenomena #Mathematical physics #Mathematics #Minkowski space #Nonlinear system #Physics #Quantum mechanics #Saddle-node bifurcation #Universe #de Sitter invariant special relativity #physics.gen-ph
10. Complex Dynamics of an SIR Epidemic Model with Saturated Incidence Rate and Treatment
    2015/11/13 by Soovoojeet Jana, Swapan Kumar Nandi, T. K. Kar · 9 citations
    Mathematics · Medicine · #Applied mathematics #Basic reproduction number #Bifurcation #Bifurcation theory #COVID-19 epidemiological studies #Computer science #Demography #Differential equation #Dynamics (music) #Epidemic model #Equilibrium point #Fractional Differential Equations Solutions #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear system #Physics #Population #Stability (learning theory)
11. Modulated traveling fronts for a nonlocal Fisher-KPP equation: a\n dynamical systems approach
    2014/09/29 by Gregory Faye, Grégory Faye, Faye, Gregory +2 · 2 citations
    Computer Science · Mathematics · Medicine · #Analysis of PDEs (math.AP) #Bifurcation #Bifurcation theory #Center manifold #Differential equation #Dynamical systems theory #Exponential dichotomy #FOS: Mathematics #Hopf bifurcation #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Ordinary differential equation #Physics #math.AP
12. Intrinsic reaction coordinate: Calculation, bifurcation, and automated search
    2014/09/03 by Satoshi Maeda, Yu Harabuchi, Yuriko Ono +3 · 32 citations
    Biochemistry, Genetics and Molecular Biology · Chemistry · Computer Science · Mathematics · #Ab initio #Algorithm #Bifurcation #Chemistry #Computational Drug Discovery Methods #Computational chemistry #Computer science #Connection (principal bundle) #Free Radicals and Antioxidants #Geometry #Mathematics #Maxima and minima #Molecule #Nonlinear system #Path (computing) #Physics #Product (mathematics) #Protein Structure and Dynamics #Quantum #Quantum chemical #Quantum mechanics #Reaction coordinate #Set (abstract data type) #Simple (philosophy) #Statistical physics
13. Bifurcations in a predator–prey system of Leslie type with generalized Holling type III functional response
    2014/06/18 by Jicai Huang, Shigui Ruan, Jing Song · 11 citations
    Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Medicine · #Bifurcation #Bogdanov–Takens bifurcation #Codimension #Degenerate energy levels #Evolution and Genetic Dynamics #Homoclinic orbit #Hopf bifurcation #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Multiplicity (mathematics) #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Physics #Pure mathematics #Singularity #Type (biology)
14. Structure of the positive solutions for supercritical elliptic equations in a ball
    2014/02/14 by Yasuhito Miyamoto · 3 citations
    Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Ball (mathematics) #Bifurcation #Combinatorics #Geometry #Mathematical physics #Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Nonlinear system #Physics #Unit sphere
15. 9.17 Morphology and Dynamics of Braided Rivers
    2013/01/01 by P. Ashmore, Peter Ashmore · 1 citation
    Agricultural and Biological Sciences · Earth and Planetary Sciences · Engineering · Environmental Science · Mathematics · #Bed load #Bifurcation #Channel (broadcasting) #Ecology #Engineering #Ephemeral key #Fluvial #Geological formations and processes #Geology #Geometry #Geomorphology #Geotechnical engineering #Hydrology (agriculture) #Hydrology and Sediment Transport Processes #Mathematics #Physics #Riparian zone #Sediment #Sediment transport #Soil erosion and sediment transport
16. Spatial quadratic solitons guided by narrow layers of a nonlinear material
    2011/05/04 by Asia Shapira, Noa Voloch-Bloch, Noa Voloch‐Bloch +2 · 1 citation
    Mathematics · Physics and Astronomy · #Advanced Fiber Laser Technologies #Antisymmetric relation #Bifurcation #Classical mechanics #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Optics #Physics #Planar #Quadratic equation #Quadratic growth #Quantum mechanics #Stability (learning theory) #Waveguide #nlin.PS #physics.optics
17. Homoclinic Tangle on the Edge of Shear Turbulence
    2011/03/07 by Lennaert van Veen, Genta Kawahara, Genta KAWAHARA · 1 citation
    Engineering · Environmental Science · Mathematics · Physics and Astronomy · #Bifurcation #Classical mechanics #Dissipation #Fluid Dynamics and Turbulent Flows #Geology #Homoclinic orbit #Laminar flow #Mathematics #Mechanics #Particle Dynamics in Fluid Flows #Physics #Plant Water Relations and Carbon Dynamics #Quantum mechanics #Shear (geology) #Shear flow #Statistical physics #Tangle #Turbulence #math.DS #msc:34C37 #msc:76F20 #physics.flu-dyn
18. Generic bifurcations of low codimension of planar Filippov Systems
    2010/11/30 by M. Guardia, Marcel Guàrdia, T.M. Seara +3 · 16 citations
    Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Advanced Differential Geometry Research #Bifurcation #Bifurcation diagram #Biological applications of bifurcation theory #Chaos control and synchronization #Codimension #Computer science #Dynamical system (definition) #Dynamical systems theory #Gravitational singularity #Mathematical analysis #Mathematics #Nonlinear system #Planar #Pure mathematics
19. Does Kepler unveil the mystery of the Blazhko effect? First detection of period doubling in Kepler Blazhko RR Lyrae stars
    2010/07/20 by R. Szabó, Z. Kolláth, L. Molnár +20 · 1 citation
    Physics and Astronomy · #Astro and Planetary Science #Astronomy #Astrophysics #Astrophysics and Star Formation Studies #Bifurcation #Cepheid variable #Globular cluster #Harmonics #Instability strip #Kepler #Light curve #Nonlinear system #Overtone #Period (music) #Period-doubling bifurcation #Physics #RR Lyrae variable #Spectral line #Stars #Stellar, planetary, and galactic studies #Variable star #astro-ph.SR
20. Simple, realistic models of complex biological processes: Positive feedback and bistability in a cell fate switch and a cell cycle oscillator
    2009/10/28 by James E. Ferrell, Joseph R. Pomerening, Sun Young Kim +6 · 26 citations
    Biochemistry, Genetics and Molecular Biology · Mathematics · #Advanced Fluorescence Microscopy Techniques #Bifurcation #Bioinformatics #Biological system #Biology #Bistability #Cell fate determination #Computer science #Control theory (sociology) #Dynamical systems theory #Gene Regulatory Network Analysis #Genetics #Mathematical Biology Tumor Growth #Mathematics #Nonlinear system #Physics #Systems biology #Topology (electrical circuits) #Xenopus
21. Three Limit Cycles in a Leslie–Gower Predator-Prey Model with Additive Allee Effect
    2009/01/01 by Pablo Aguirre, Eduardo González-Olivares, Eduardo González‐Olivares +1 · 1 citation
    Biochemistry, Genetics and Molecular Biology · Environmental Science · Mathematics · Medicine · #Allee effect #Animal Ecology and Behavior Studies #Applied mathematics #Bifurcation #Bifurcation diagram #Biology #Ecology #Evolution and Genetic Dynamics #Extinction (optical mineralogy) #Homoclinic orbit #Hopf bifurcation #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear system #Physics #Population #Predation #Statistical physics
22. Experimental Continuation of Periodic Orbits through a Fold
    2008/04/30 by J. Sieber, Jan Sieber, A. Gonzalez-Buelga +7 · 1 citation
    Computer Science · Engineering · Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Aerospace engineering #Bifurcation #Chaos control and synchronization #Classical mechanics #Computer science #Continuation #Control (management) #Control theory (sociology) #Engineering #Fold (higher-order function) #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Numerical continuation #Orbit (dynamics) #Pendulum #Periodic orbits #Physics #Quantum mechanics #nlin.CD
23. A study of the asymmetric Malkus waterwheel: The biased Lorenz equations
    2006/01/13 by Aashwin Mishra, Sanjeev Sanghi · 1 citation
    Physics and Astronomy · Computer Science · Mathematics · #Chaos control and synchronization #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #Lorenz system #Phase space #Lyapunov exponent #Chaotic #Dynamical systems theory #Mathematics #Bifurcation #Space (punctuation) #Work (physics) #Statistical physics #Mathematical analysis #Physics #Nonlinear system #Computer science #Attractor #Thermodynamics
24. A damped pendulum forced with a constant torque
    2005/11/29 by P. Coullet, J. M. Gilli, M. Monticelli +3 · 3 citations
    Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bifurcation #Chaos control and synchronization #Classical mechanics #Computer science #Constant (computer programming) #Control (management) #Control theory (sociology) #Dimensionless quantity #Double pendulum #Forcing (mathematics) #Homoclinic bifurcation #Inverted pendulum #Kapitza's pendulum #Mechanics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Pendulum #Physics #Quantum mechanics #Saddle-node bifurcation #Thermodynamics #Torque
25. Nonlinear vibrations of suspended cables—Part I: Modeling and analysis
    2004/11/01 by Giuseppe Rega · 6 citations
    Engineering · Mathematics · #Bifurcation #Calculus (dental) #Classical mechanics #Computer science #Discretization #Engineering #Equations of motion #Fluid Dynamics and Vibration Analysis #Mathematical analysis #Mathematical model #Mathematics #Mechanical engineering #Mechanical system #Nonlinear system #Numerical analysis #Partial differential equation #Physics #Vibration #Vibration Control and Rheological Fluids #Vibration and Dynamic Analysis
26. RF-Driven Josephson Bifurcation Amplifier for Quantum Measurement
    2003/12/24 by I. Siddiqi, Irfan Siddiqi, R. Vijay +10 · 5 citations
    Computer Science · Physics and Astronomy · #Amplifier #Bifurcation #Condensed matter physics #Dissipation #Josephson effect #Microwave #Optoelectronics #Oscillation (cell signaling) #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum Information and Cryptography #Quantum amplifier #Quantum and electron transport phenomena #Quantum computer #Quantum error correction #Quantum mechanics #Superconductivity #cond-mat.mes-hall #cond-mat.supr-con
27. Organized modes and the three-dimensional transition to turbulence in the incompressible flow around a NACA0012 wing
    2003/12/01 by Y. HOARAU, Yannick Hoarau, M. BRAZA +7 · 2 citations
    Engineering · Environmental Science · #Aerodynamics #Bifurcation #Classical mechanics #Fluid Dynamics and Turbulent Flows #Fluid Dynamics and Vibration Analysis #Instability #Leading edge #Mechanics #Nonlinear system #Physics #Reynolds number #Swept wing #Thermodynamics #Transition point #Turbulence #Wake #Wind and Air Flow Studies #Wing
28. Border collision bifurcations in a one-dimensional piecewise smooth map for a PWM current-programmed H-bridge inverter
    2002/01/01 by Bruno Robert, Carl Robert · 3 citations
    Engineering · Mathematics · Physics and Astronomy · #Artificial intelligence #Bifurcation #Bridge (graph theory) #Chaos control and synchronization #Chaotic #Collision #Combinatorics #Computer science #Control (management) #Control theory (sociology) #Controller (irrigation) #Current (fluid) #Inverter #Magnetic Bearings and Levitation Dynamics #Mathematical analysis #Mathematics #Nonlinear system #Physics #Piecewise #Piecewise linear function #Power (physics) #Power System Optimization and Stability #Pulse-width modulation #Stability (learning theory) #Topology (electrical circuits)
29. Simple and double Hopf bifurcations in aeroelastic oscillators with tuned mass dampers
    2001/03/01 by Vincenzo Gattulli, Franco Di Fabio, Angelo Luongo · 2 citations
    Engineering · Mathematics · #Aerodynamics #Aeroelasticity #Bifurcation #Classical mechanics #Codimension #Fluid Dynamics and Vibration Analysis #Hopf bifurcation #Mathematical analysis #Mathematics #Mechanics #Nonlinear system #Perturbation (astronomy) #Physics #Vibration Control and Rheological Fluids #Vibration and Dynamic Analysis
30. Sensitivities and Linear Stability Analysis Around a Double-Zero Eigenvalue
    2000/04/01 by A. Luongo, Angelo Luongo, A. Paolone +3 · 2 citations
    Decision Sciences · Engineering · Mathematics · #Applied mathematics #Bifurcation #Bifurcation theory #Bladed Disk Vibration Dynamics #Brake Systems and Friction Analysis #Codimension #Eigenvalues and eigenvectors #Geometry #Hopf bifurcation #Jacobian matrix and determinant #Mathematical analysis #Mathematics #Nonlinear system #Parameter space #Physics #Probabilistic and Robust Engineering Design #Singularity

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