Bifurcations in a Time-Delayed Birhythmic Biological System with Fractional Derivative and Lévy Noise
From MaRDI portal
Publication:5064592
DOI10.1142/S0218127421502448zbMath1493.34229OpenAlexW4200311565MaRDI QIDQ5064592
Hongxia Zhang, Wenting Zhang, Wei Xu, Qin Guo
Publication date: 16 March 2022
Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218127421502448
Stochastic functional-differential equations (34K50) Qualitative investigation and simulation of models involving functional-differential equations (34K60) Bifurcation theory of functional-differential equations (34K18) Functional-differential equations with fractional derivatives (34K37) Biological rhythms and synchronization (92B25) Nonlinear processes (e.g., (G)-Brownian motion, (G)-Lévy processes) (60G65)
Cites Work
- Unnamed Item
- Unnamed Item
- Bifurcation control of bounded noise excited Duffing oscillator by a weakly fractional-order \(PI^{\lambda} D^{\mu}\) feedback controller
- Basic theory of fractional differential equations
- Nonlinear dynamics and chaos in a fractional-order HIV model
- Role of the initial conditions on the enhancement of the escape time in static and fluctuating potentials
- Effects of a periodic drive and correlated noise on birhythmic van der Pol systems
- Memory effect in a self-sustained birhythmic biological system
- Nonlinear dynamics of the CAM circadian rhythm in response to environmental forcing
- Delay-induced transitions in the birhythmic biological model under joint noise sources
- Stochastic bifurcations induced by correlated noise in a birhythmic van der Pol system
- Early warning and basin stability in a stochastic vegetation-water dynamical system
- Bifurcations in a fractional birhythmic biological system with time delay
- Effects of noise correlation on the coherence of a forced van der Pol type birhythmic system
- Noise-induced variability of nonlinear dynamics in 3D model of enzyme kinetics
- Modulating bifurcations in a self-sustained birhythmic system by \(\alpha\)-stable Lévy noise and time delay
- The phase transition in a bistable Duffing system driven by Lévy noise
- Effective Fokker-Planck equation for birhythmic modified van der Pol oscillator
- DYNAMICS AND ACTIVE CONTROL OF MOTION OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR
- VOLATILITY EFFECTS ON THE ESCAPE TIME IN FINANCIAL MARKET MODELS
- Synchronization of two coupled self-excited systems with multi-limit cycles
- BIFURCATION STRUCTURE OF A DRIVEN, MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR (I): THE SUPERHARMONIC RESONANCE STRUCTURE
- BIFURCATION STRUCTURE OF A DRIVEN MULTI-LIMIT-CYCLE VAN DER POL OSCILLATOR (II): SYMMETRY-BREAKING CRISIS AND INTERMITTENCY
- Bifurcation Regulations Governed by Delay Self-Control Feedback in a Stochastic Birhythmic System
- Control of birhythmicity: A self-feedback approach
- The Effects of Correlated Noise on Bifurcation in Birhythmicity Driven by Delay
- Probability Distribution of the Residence Times in Periodically Fluctuating Metastable Systems
- Bifurcation Analysis of a Self-Sustained Birhythmic Oscillator Under Two Delays and Colored Noises
- Lévy noise induced transitions and enhanced stability in a birhythmic Van der Pol system
