Frequency-truncation fast-slow analysis for parametrically and externally excited systems with two slow incommensurate excitation frequencies
From MaRDI portal
Publication:2207338
DOI10.1016/j.cnsns.2018.12.007zbMath1464.34081OpenAlexW2903783613WikidataQ128786829 ScholiaQ128786829MaRDI QIDQ2207338
Qinsheng Bi, Yang Liu, Xiujing Han, Juergen Kurths
Publication date: 22 October 2020
Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cnsns.2018.12.007
fast-slow analysisbursting dynamicsincommensurate excitation frequenciessystems with slow excitations
Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Multiple scale methods for ordinary differential equations (34E13)
Related Items
Slow-fast dynamics in the truss core sandwich plate under excitations with high and low frequencies, Distinctive roles of hysteresis, amplitude death and oscillation death in generating fast-slow phenomena in parametrically and externally excited systems, A nonautonomous model for the effect of environmental toxins on plankton dynamics, Small perturbation of excitation frequency leads to complex fast-slow dynamics, Complex bursting dynamics in the cubic-quintic Duffing-van der Pol system with two external periodic excitations, Mixed-mode oscillation in a class of delayed feedback system and multistability dynamic response, Bursting oscillations in Sprott B system with multi-frequency slow excitations: two novel ``Hopf/Hopf-hysteresis-induced bursting and complex AMB rhythms, Exploiting multiple-frequency bursting of a shape memory oscillator
Cites Work
- Cross-currents between biology and mathematics: the codimension of pseudo-plateau bursting
- Multiple time scale dynamics
- Antiperiodic oscillations in a forced Duffing oscillator
- Bursting oscillations in Duffing's equation with slowly changing external forcing
- Fast-slow bursters in the unfolding of a high codimension singularity and the ultra-slow transitions of classes
- Bursting oscillations in a 3D system with asymmetrically distributed equilibria: mechanism, electronic implementation and fractional derivation effect
- Dynamics of firing patterns, synchronization and resonances in neuronal electrical activities: experiments and analysis
- Mixed-Mode Oscillations with Multiple Time Scales
- Delayed Bifurcations to Repetitive Spiking and Classification of Delay-Induced Bursting
- Slow Passage Through a Hopf Bifurcation: From Oscillatory to Steady State Solutions
- The Slow Passage through a Hopf Bifurcation: Delay, Memory Effects, and Resonance
- Slow Passage Through a Pitchfork Bifurcation
- NEURAL EXCITABILITY, SPIKING AND BURSTING