Escape of two-DOF dynamical system from the potential well

A. Engel, T. Ezra, O. V. Gendelman, A. Fidlin

Research output: Contribution to journalArticlepeer-review


We consider the escape of an initially excited dynamical system with two degrees of freedom from a potential well. Three different benchmark well potentials with different topologies are explored. The main challenge is to reveal the basic mechanisms that govern the escape in different regions of the parametric space and to construct appropriate asymptotic approximations for the analytic treatment of these mechanisms. In this study, numerical and analytical tools are used to classify and map the different escape mechanisms for various initial conditions and to offer the analytic criteria predicting the system’s behavior for those cases.

Original languageEnglish
Pages (from-to)3019-3034
Number of pages16
JournalNonlinear Dynamics
Issue number4
StateAccepted/In press - 2022


  • Asymptotic methods
  • Coupled oscillators
  • Escape dynamics
  • Slow-fast decomposition
  • Transient processes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Aerospace Engineering
  • Ocean Engineering
  • Mechanical Engineering
  • Applied Mathematics
  • Electrical and Electronic Engineering


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