Border-collision bifurcation in the logistic map with state-dependent impulsive forces

Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30) Bifurcation theory for difference equations (39A28)

Cites Work

Sliding and oscillations in fisheries with on-off harvesting and different switching times
Superstable credit cycles and U-sequence
Bifurcation structure of parameter plane for a family of unimodal piecewise smooth maps: Border-collision bifurcation curves
Controlling bifurcations and chaos in TCP-UDP-RED
Impulsivity in binary choices and the emergence of periodicity
Border-collision bifurcations including ``period two to period three for piecewise smooth systems
Dynamic complexities in a single-species discrete population model with stage structure and birth pulses
Revealing bifurcation mechanisms in a 2D nonsmooth map by means of the first return map
The analysis of mode-locking topology in an SIR epidemic dynamics model with impulsive vaccination control: infinite cascade of Stern-Brocot sum trees
The impulsive model with pest density and its change rate dependent feedback control
Doubling of the oscillation period with C-bifurcations in piecewise-continuous systems
Bifurcation analysis of the Nagumo-Sato model and its coupled systems
Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps
Bifurcations of Chaotic Attractors in One-Dimensional Piecewise Smooth Maps
THE ROLE OF CODIMENSION IN DYNAMICAL SYSTEMS
Local and global bifurcations in 3D piecewise smooth discontinuous maps
Multistability Regions and Related Basins of Multiattractors in Piecewise Linear Discontinuous Map from Financial Markets
Unfolding Codimension-Two Subsumed Homoclinic Connections in Two-Dimensional Piecewise-Linear Maps
Simple mathematical models with very complicated dynamics
Codimension-2 Border Collision, Bifurcations in One-Dimensional, Discontinuous Piecewise Smooth Maps
Impulsive control theory
Determination of the Quadrotor Mathematical Models for Control Systems Synthesis and Simulation
Bifurcations of mode-locked periodic orbits in three-dimensional maps