- 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
- 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
- Mechanism of the Changing Look phenomenon in Active Galactic Nuclei
2019/04/14 by Marzena Śniegowska, Śniegowska, Marzena, B. Czerny +2 · 2 citations
Physics and Astronomy · #Accretion (finance) #Accretion disc #Active galactic nucleus #Advection #Astrophysical Phenomena and Observations #Astrophysics #Astrophysics of Galaxies (astro-ph.GA) #Eddington luminosity #FOS: Physical sciences #Flow (mathematics) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Gamma-ray bursts and supernovae #High Energy Astrophysical Phenomena (astro-ph.HE) #Instability #Limit (mathematics) #Limit cycle #Mechanics #Nonlinear system #Physics #Quantum mechanics #Radiation pressure #Thermodynamics #Thin disk #astro-ph.GA #astro-ph.HE
- Limit cycles by perturbing quadratic isochronous centers inside piecewise polynomial differential systems
2018/07/20 by Xiuli Cen, Changjian Liu, Lijun Yang +1 · 3 citations
Mathematics · #Advanced Differential Equations and Dynamical Systems #Applied mathematics #Geometry #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Piecewise #Polynomial #Quadratic differential #Quadratic equation #Quadratic function
- 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
- 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)
- The Cell Cycle is a Limit Cycle
2012/01/01 by Claude Gérard, Albert Goldbeter · 2 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · #Gene Regulatory Network Analysis #Microtubule and mitosis dynamics #Protein Structure and Dynamics #Cyclin-dependent kinase #Cell cycle #Limit cycle #Cyclin #Biological system #Kinetics #Mathematics #Computer science #Limit (mathematics) #Biology #Cell #Physics #Biochemistry #Mathematical analysis
- 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
- Nonlinear analysis of a simple model of temperature evolution in a satellite
2007/07/23 by Jose Gaite, José Gaite, Angel Sanz-Andrés +2 · 1 citation
Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cosmology and Gravitation Theories #Differential equation #Dissipation #Isothermal process #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Mechanics #Nonlinear system #Ordinary differential equation #Perturbation (astronomy) #Physics #Quantum mechanics #Satellite #Scientific Research and Discoveries #Thermodynamics #math-ph #math.MP #nlin.CD #physics.space-ph
- Bifurcation analysis of a two-degree-of-freedom aeroelastic system with freeplay structural nonlinearity by a perturbation-incremental method
2006/10/05 by K.W. Chung, C.L. Chan, Chitat Chan +1 · 1 citation
Engineering · Mathematics · #Aerodynamics #Aeroelasticity #Applied mathematics #Bifurcation #Bifurcation diagram #Bifurcation theory #Bladed Disk Vibration Dynamics #Computer science #Control theory (sociology) #Eigenvalues and eigenvectors #Floquet theory #Flutter #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Mechanics #Monodromy matrix #Nonlinear system #Period-doubling bifurcation #Physics #Saddle-node bifurcation #Vibration Control and Rheological Fluids #Vibration and Dynamic Analysis
- Instability of a Stalled Accretion Shock: Evidence for the Advective‐Acoustic Cycle
2006/06/30 by T. Foglizzo, P. Galletti, Leonhard Scheck +3 · 4 citations
Physics and Astronomy · #Accretion (finance) #Advection #Astrophysical Phenomena and Observations #Astrophysics #Astrophysics and Star Formation Studies #Gamma-ray bursts and supernovae #Instability #Limit cycle #Mechanics #Nonlinear system #Oscillation (cell signaling) #Physics #RADIUS #Shock (circulatory) #Thermodynamics #WKB approximation #astro-ph
- Limit cycles for rigid cubic systems
2005/01/29 by Armengol Gasull, A. Gasull, R. Prohens +2 · 5 citations
Mathematics · Medicine · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Affine transformation #Bifurcation #Bifurcation diagram #Constant (computer programming) #Focus (optics) #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematics #Nonlinear system #Phase (matter) #Phase diagram #Phase portrait #Physics #Planar #Pure mathematics #Quantum chaos and dynamical systems #Uniqueness
- NON-LINEAR AEROELASTIC ANALYSIS USING THE POINT TRANSFORMATION METHOD, PART 1: FREEPLAY MODEL
2002/05/01 by L. LIU, L. Liu, Y.S. WONG +3 · 2 citations
Engineering · Mathematics · #Aerodynamics #Aeroelasticity #Aeroelasticity and Vibration Control #Aerospace engineering #Amplitude #Applied mathematics #Chaotic #Composite Structure Analysis and Optimization #Computer science #Control theory (sociology) #Engineering #Geometry #Harmonics #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Physics #Point (geometry) #Transformation (genetics) #Vibration and Dynamic Analysis
- NON-LINEAR AEROELASTIC ANALYSIS USING THE POINT TRANSFORMATION METHOD, PART 2: HYSTERESIS MODEL
2002/05/01 by L. LIU, Lili Liu, Y.S. WONG +3 · 2 citations
Decision Sciences · Engineering · Mathematics · #Aerodynamics #Aeroelasticity #Aeroelasticity and Vibration Control #Amplitude #Chaotic #Computer science #Control theory (sociology) #Geometry #Harmonics #Hysteresis #Limit (mathematics) #Limit cycle #Limit point #Mathematical analysis #Mathematics #Mechanics #Physics #Piecewise #Point (geometry) #Probabilistic and Robust Engineering Design #Transformation (genetics) #Vibration and Dynamic Analysis
- Non-linear system identification using closed-loop data with no external excitation: The case of a lean combustion chamber
2001/01/01 by Sergio M. Savaresi, Robert R. Bitmead, Wayne J. Dunstan · 2 citations
Chemical Engineering · Chemistry · Engineering · Mathematics · #Acoustics #Advanced Combustion Engine Technologies #Artificial intelligence #Chemistry #Closed loop #Combustion #Combustion and flame dynamics #Computer science #Control (management) #Control engineering #Control theory (sociology) #Data mining #Engineering #Excitation #Harmonic #Identification (biology) #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Measure (data warehouse) #Oscillation (cell signaling) #Physics #Process (computing) #SIGNAL (programming language) #Set (abstract data type) #Spectroscopy and Chemometric Analyses #System identification #Task (project management)
- A theoretical study of the hysteresis phenomenon at vocal fold oscillation onset–offset
1999/01/01 by Jorge C. Lucero · 1 citation
Medicine · Computer Science · Psychology · Mathematics · Chemistry · #Voice and Speech Disorders #Speech Recognition and Synthesis #Phonetics and Phonology Research #Oscillation (cell signaling) #Offset (computer science) #Vocal folds #Limit cycle #Bifurcation #Physics #Mechanics #Hopf bifurcation #Glottis #Control theory (sociology) #Nonlinear system #Mathematics #Larynx #Computer science #Anatomy #Chemistry
- Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
1998/04/01 by Michael S. Branicky, M.S. Branicky · 49 citations
Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Applied mathematics #Class (philosophy) #Computer science #Control (management) #Control and Stability of Dynamical Systems #Control theory (sociology) #Hybrid system #Iterated function #Limit (mathematics) #Limit cycle #Lipschitz continuity #Lyapunov function #Mathematical analysis #Mathematics #Nonlinear system #Pure mathematics #Stability (learning theory) #Stability and Control of Uncertain Systems
- Statistical macrodynamics of large dynamical systems. Case of a phase transition in oscillator communities
1987/11/01 by Yoshiki Kuramoto, Ikuko Nishikawa · 32 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Amplitude #Classical mechanics #Critical point (mathematics) #Dynamical system (definition) #Dynamical systems theory #Limit (mathematics) #Limit cycle #Master equation #Mathematical analysis #Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear system #Oscillation (cell signaling) #Phase transition #Physics #Population #Quantum mechanics #Statistical physics #Thermodynamic limit #stochastic dynamics and bifurcation
- Nonlinear Aspects of Competition Between Three Species
1975/09/01 by Robert M. May, Warren J. Leonard · 6 citations
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Amplitude #Applied mathematics #Biology #Bounded function #Class (philosophy) #Competition (biology) #Computer science #Dynamical systems theory #Ecology #Evolution and Genetic Dynamics #Limit (mathematics) #Limit cycle #Mathematical Biology Tumor Growth #Mathematical analysis #Mathematical and Theoretical Epidemiology and Ecology Models #Mathematical and theoretical biology #Mathematics #Nonlinear system #Physics #Population #Population model #Statistical physics #Volterra equations
- Impulses and Physiological States in Theoretical Models of Nerve Membrane
1961/07/01 by Richard Fitzhugh, Richard FitzHugh · 248 citations
Agricultural and Biological Sciences · Mathematics · Neuroscience · #Classical mechanics #Control theory (sociology) #Hodgkin–Huxley model #Impulse (physics) #Limit (mathematics) #Limit cycle #Mathematical analysis #Mathematics #Neural dynamics and brain function #Neuroscience #Neuroscience and Neural Engineering #Nonlinear system #Phase (matter) #Phase diagram #Phase plane #Phase space #Physics #Plant and Biological Electrophysiology Studies #Quantum mechanics #Refractory period