scholarly journals Delay-induced homoclinic bifurcations in modified gradient bistable systems and their relevance to optimization

2021 ◽  
Vol 31 (9) ◽  
pp. 093120
Author(s):  
Natalia B. Janson ◽  
Christopher J. Marsden
Keyword(s):  
Bistable Systems ◽  
Homoclinic Bifurcations

DYNAMIC RESPONSE AND NOISE SUSCEPTIBILITY OF c.w. BISTABLE SYSTEMS

1988 ◽  
Vol 49 (C2) ◽  
pp. C2-161-C2-164
Author(s):  
H. A. MacKENZIE ◽  
J. YOUNG ◽  
A. ILTAIF ◽  
J. HUGHES
Keyword(s):  
Dynamic Response ◽  
Bistable Systems ◽  
Noise Susceptibility

scholarly journals Stochastic resonance in periodically driven bistable systems subjected to anomalous diffusion

2021 ◽  
Vol 3 (4) ◽  
Author(s):  
F. Naha Nzoupe ◽  
Alain M. Dikandé
Keyword(s):  
Stochastic Resonance ◽  
Signal To Noise Ratio ◽  
Planck Equation ◽  
Relevant Information ◽  
Periodic Signal ◽  
Signal To Noise ◽  
Periodically Driven ◽  
Loop Area ◽  
Bistable Systems ◽  
Noise Ratio

AbstractThe occurrence of stochastic resonance in bistable systems undergoing anomalous diffusions, which arise from density-dependent fluctuations, is investigated with an emphasis on the analytical formulation of the problem as well as a possible analytical derivation of key quantifiers of stochastic resonance. The nonlinear Fokker–Planck equation describing the system dynamics, together with the corresponding Ito–Langevin equation, is formulated. In the linear response regime, analytical expressions of the spectral amplification, of the signal-to-noise ratio and of the hysteresis loop area are derived as quantifiers of stochastic resonance. These quantifiers are found to be strongly dependent on the parameters controlling the type of diffusion; in particular, the peak characterizing the signal-to-noise ratio occurs only in close ranges of parameters. Results introduce the relevant information that, taking into consideration the interactions of anomalous diffusive systems with a periodic signal, can provide a better understanding of the physics of stochastic resonance in bistable systems driven by periodic forces.

scholarly journals Stochastic resonance in underdamped, bistable systems

2006 ◽  
Vol 353 (5) ◽  
pp. 364-371 ◽  
Author(s):  
Rajarshi Ray ◽  
Supratim Sengupta
Keyword(s):  
Stochastic Resonance ◽  
Bistable Systems

scholarly journals Shaping pulses to control bistable systems: Analysis, computation and counterexamples

Automatica ◽  
2016 ◽  
Vol 63 ◽  
pp. 254-264 ◽  
Author(s):  
Aivar Sootla ◽  
Diego Oyarzún ◽  
David Angeli ◽  
Guy-Bart Stan
Keyword(s):  
Systems Analysis ◽  
Bistable Systems
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