In the current work, we model HCVI oscillator by a forced particle in hybrid quartic-square potential well with infinite depth under periodic external forcing. The slow-flow dynamics of system is analyzed framework isolated resonance approximation canonical transformation to action–angle (AA) variables and corresponding reduced manifold (RM). Two types bifurcation are examined described analyti...

Abstract We report the occurrence of bursting oscillations in a gyroscope oscillator driven by low-frequency external period forcing. The patterns arise when either frequency or amplitude excitation force is varied. They take form pulse-shaped explosions (PSEs) wherein periodic attractors lower periodicity disappear due to loss asymptotic stability equilibrium point between resting and active s...

The escape phenomenon, mainly caused by thermal effects, is known as an obstacle to the further practical application of optical levitation system in vacuum. Irregular photophoresis induced effects can act amplifier Brownian motion. Studies on this topic provide interpretation for particle escaping phenomenon during pressure decreasing process, well valuable insights into micro- and nanoscale t...

We consider the self-organized escape of a chain of harmonically coupled units from a metastable state over a cubic potential barrier. The underlying dynamics is conservative and purely deterministic. The supply of a sufficient total energy transforms the chain into the nonlinear regime from which an initially, nearly uniform lattice configuration becomes unstable, yielding a redistribution wit...

Noise-induced escape from a non-hyperbolic attractor, and from a quasihyperbolic attractor with nonfractal boundaries, is investigated by means of analogue experiments and numerical simulations. It is found that there exists a most probable (optimal) escape trajectory, the prehistory of the escape being de ned by the structure of the chaotic attractor. The corresponding optimal uctuational forc...

In a previous paper we computed the phase response curve (PRC) of a half-center oscillator (HCO), a pair of reciprocally inhibitory model neurons that exhibit alternating rhythms, based on the minimal ionic model. It was showed that the two intrinsic mechanisms of the local HCO, “release” and “escape”, gave rise to two different shapes of PRCs. In this paper we use the theory of weakly coupled ...

In this paper, a new analytical approach has been presented for solving strongly nonlinear oscillator problems. Iteration perturbation method leads us to high accurate solution. Two different high nonlinear examples are also presented to show the application and accuracy of the presented method. The results are compared with analytical methods and with the numerical solution using Runge-Kutta m...