About the intuitive picture of a Hamiltonian for a dissipative system

2009/01/29 by Gustavo V. López, Lopez, G. V.
Engineering · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Classical Physics (physics.class-ph) #Control and Stability of Dynamical Systems #FOS: Physical sciences #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.0901.4792

openalex publication_date 2009/01/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Hamiltonian for a one-dimensional (1-D) dissipative system is given which shows that the trajectories in the spaces (x, x) and (x,p) are completely different. The trajectory in the space (x,p) has an unexpected contra-intuitive behavior, and a canonical transformation does not solve this behavior.

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