Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones
From MaRDI portal
Publication:2357610
DOI10.1016/j.physd.2016.03.004zbMath1364.65280OpenAlexW2299412826MaRDI QIDQ2357610
Rodrigo D. Euzébio, Enrique Ponce, Rubens Pazim
Publication date: 14 June 2017
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2016.03.004
Linear ordinary differential equations and systems (34A30) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)
Related Items (17)
Poincaré recurrence theorem for non-smooth vector fields ⋮ Global dynamics of degenerate linear differential systems with symmetry and two parallel switching lines ⋮ Global dynamics of an asymmetry piecewise linear differential system: theory and applications ⋮ Global studies on a continuous planar piecewise linear differential system with three zones ⋮ Periodic trajectories in planar discontinuous piecewise linear systems with only centers and with a nonregular switching line ⋮ Global Dynamics of Memristor Oscillator ⋮ Global dynamics of a degenerate planar piecewise linear differential system with three zones ⋮ Phase portraits of continuous piecewise linear Liénard differential systems with three zones ⋮ Unnamed Item ⋮ A proof of Euzébio-Pazim-Ponce's conjectures for a degenerate planar piecewise linear differential system with three zones ⋮ Limit cycles in the discontinuous planar piecewise linear systems with three zones ⋮ At most two limit cycles in a piecewise linear differential system with three zones and asymmetry ⋮ On periodic regimes triggered by herd behaviour in population systems ⋮ A degenerate planar piecewise linear differential system with three zones ⋮ Limit Cycles in Planar Piecewise Linear Hamiltonian Systems with Three Zones Without Equilibrium Points ⋮ Limit sets of discontinuous vector fields on two-dimensional manifolds ⋮ Global Analysis of an Asymmetric Continuous Piecewise Linear Differential System with Three Linear Zones
Cites Work
- Piecewise linear perturbations of a linear center
- On the number of limit cycles in discontinuous piecewise linear differential systems with two pieces separated by a straight line
- Uniqueness and non-uniqueness of limit cycles for piecewise linear differential systems with three zones and no symmetry
- Symmetries in timed continuous Petri nets
- Dynamics and bifurcations of non-smooth mechanical systems
- On the number of limit cycles in general planar piecewise linear systems of node-node types
- Piecewise linear differential systems with two real saddles
- Existence of limit cycles in general planar piecewise linear systems of saddle-saddle dynamics
- A general mechanism to generate three limit cycles in planar Filippov systems with two zones
- Algebraically computable piecewise linear nodal oscillators
- Piecewise-smooth dynamical systems. Theory and applications
- Limit cycles in a family of discontinuous piecewise linear differential systems with two zones in the plane
- On the existence and uniqueness of limit cycles in planar continuous piecewise linear systems without symmetry
- Qualitative theory of planar differential systems
- Canards in piecewise-linear systems: explosions and super-explosions
- Resonance near border-collision bifurcations in piecewise-smooth, continuous maps
- Neuronal Networks with Gap Junctions: A Study of Piecewise Linear Planar Neuron Models
- BIFURCATION SETS OF SYMMETRICAL CONTINUOUS PIECEWISE LINEAR SYSTEMS WITH THREE ZONES
- Bifurcation Sets of Continuous Piecewise Linear Systems with Two Zones
- Limit Cycle and Boundary Equilibrium Bifurcations in Continuous Planar Piecewise Linear Systems
- On the Limit Cycles for a Class of Continuous Piecewise Linear Differential Systems with Three Zones
- On simplifying and classifying piecewise-linear systems
- Canard-Like Explosion of Limit Cycles in Two-Dimensional Piecewise-Linear Models of FitzHugh–Nagumo Type
- Canonical Discontinuous Planar Piecewise Linear Systems
- ON THE NUMBER OF LIMIT CYCLES IN PIECEWISE-LINEAR LIÉNARD SYSTEMS
This page was built for publication: Jump bifurcations in some degenerate planar piecewise linear differential systems with three zones
