2 citations · 2 across the 6 of their papers we have counts for
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Vibration of Generalized Double Well Oscillators
Grzegorz Litak, Marek Borowiec, Arkadiusz Syta
We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of a double well dynamical system with a nonlinear fractional da…
Stochastic description of the deterministic Ricker's population model
Arkadiusz Syta, Grzegorz Litak
We adopt the '0-1' test for chaos using Brownian motion chains to identify the dynamics of the Ricker's population model. In the '0-1' test '0' is related to regular motion while '…
Homoclinic transition to chaos in the Ueda oscillator with external forcing
Grzegorz Litak, Arkadiusz Syta, Marek Borowiec
We examine the Melnikov criterion for transition to chaos in case of a single degree of freedom nonlinear oscillator with the Ueda well potential and an external periodic excitatio…
Vibration of the Duffing Oscillator: Effect of Fractional Damping
Marek Borowiec, Grzegorz Litak, Arkadiusz Syta
We have applied the Melnikov criterion to examine a global homoclinic bifurcation and transition to chaos in a case of the Duffing system with nonlinear fractional damping and exte…
Transition to Chaos in the Self-Excited System with a Cubic Double Well Potential and Parametric Forcing
Grzegorz Litak, Marek Borowiec, Arkadiusz Syta +1
We examine the Melnikov criterion for a global homoclinic bifurcation and a possible transition to chaos in case of a single degree of freedom nonlinear oscillator with a symmetric…
Suppression of chaos by weak resonant excitations in a nonlinear oscillator with a non-symmetric potential
Grzegorz Litak, Arkadiusz Syta, Marek Borowiec
We examine the Mielnikov criterion for transition to chaos in case of one degree of freedom nonlinear oscillator with non symmetric potential. This system subjected to an external…