Limit cycles in chemostat with constant yields
Keywords: دور محدود; Chemostat; Hopf bifurcation; Limit cycles; Constant yields; Lyapunov function
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PERIODIC MODES IN A MATHEMATICAL MODEL OF TESTOSTERONE REGULATION
Keywords: دور محدود; Biomedical systems; Impulse signals; Oscillation; Limit cycles
Analysis of undercompensation and overcompensation of friction in 1DOF mechanical systems
Keywords: دور محدود; Friction compensation; Equilibrium set; Limit cycles; Friction problems in mechanics; Discontinuous systems
Limit cycles in morphogenesis
Keywords: دور محدود; Temporal; Morphogenesis; Limit cycles; Uniqueness
Limit cycles in a chemostat with general variable yields and growth rates
Keywords: دور محدود; 34A34; 92D25Chemostat; Variable yield; Limit cycles; Hopf bifurcation
Global dynamics and controllability of a harvested prey–predator system with Holling type III functional response
Keywords: دور محدود; Controllability; Limit cycles; Hopf-bifurcation; Global stability
On the number of limit cycles of a cubic polynomials Hamiltonian system under quintic perturbation
Keywords: دور محدود; Limit cycles; Bifurcation; Detection functions; Hamiltonian system
TCP: Local stability and Hopf bifurcation
Keywords: دور محدود; TCP; Nonlinear equation; Stability; Limit cycles; Simulations
Qualitative analysis of the phase portrait for a class of planar vector fields via the comparison method
Keywords: دور محدود; Qualitative theory; Planar vector fields; Limit cycles
From limit cycles to periodic orbits through ultradiscretisation
Keywords: دور محدود; 05.45.-a; Limit cycles; Cellular automata; Periodic orbits; Discrete systems;
Spatially extended host-parasite interactions: The role of recovery and immunity
Keywords: دور محدود; Spatial structure; Pair-wise approximation; Limit cycles; Host extinction; Invasion fitness;
A theory for n-dimensional nonlinear dynamics on continuous vector fields
Keywords: دور محدود; 05.45.−a; 45.20.−dNonlinear dynamic systems; Global transversality and tangency; First integral manifold surface; First integral quantity increment; Strong and weak stabilities; Strange attractor fragmentation; Perturbed Hamiltonian systems; Limit cycles
A 3D competitive Lotka–Volterra system with three limit cycles: A falsification of a conjecture by Hofbauer and So
Keywords: دور محدود; 34C12; 34C23; 92D25Competitive; Lotka–Volterra system; Limit cycles; Carrying simplex; Hopf bifurcation
Phase space structure of spinning disks
Keywords: دور محدود; Spinning disks; Chaos; Non-linear dynamical systems; Canonical transformations; Resonances; Adiabatic invariants; Limit cycles;
Limit cycles for competitor–competitor–mutualist Lotka–Volterra systems
Keywords: دور محدود; Competitor–competitor–mutualist; Lotka–Volterra systems; Limit cycles; Hopf bifurcation
The 3-D Hopf bifurcation in bio-reactor when one competitor produces a toxin
Keywords: دور محدود; 34C35; 92D25Bio-reactor; Toxin; Hopf bifurcation; Limit cycles
Boundedness of solutions and existence of limit cycles for a nonlinear system
Keywords: دور محدود; Boundedness; existence; limit cycles; nonlinear system;
Friction induced vibration for an aircraft brake system—Part 2: Non-linear dynamics
Keywords: دور محدود; Vibration; Non-linear dynamic; Limit cycles
Modelling and analysis of a harvested prey–predator system incorporating a prey refuge
Keywords: دور محدود; 34C05; 92D25Prey–predator; Prey-refuge; Limit cycles; Bionomic equilibrium; Optimal harvesting
Computation and stability of limit cycles in hybrid systems
Keywords: دور محدود; Limit cycles; Hybrid systems; Sensitivity functions; Stability; Power converters
Perturbations of non-Hamiltonian reversible quadratic systems with cubic orbits
Keywords: دور محدود; 34C07; 34C08; 37G15; 34M50; The kth order Melnikov function; Limit cycles;
On conditions for regularity of solutions for a piecewise linear system
Keywords: دور محدود; 34A36; 34A12; 34H05; Resonant converters; Piecewise linear system; Limit cycles; Switched systems;
A simple two-component reaction-diffusion system showing rich dynamic behavior: spatially homogeneous aspects and selected bifurcation scenarios
Keywords: دور محدود; Reaction-diffusion systems; Limit cycles; Localized solutions; Particle solutions;
The number of limit cycles for a family of polynomial systems
Keywords: دور محدود; Hilbert's 16th problem; Global bifurcation; Abelian integrals; Limit cycles;
A note on existence and uniqueness of limit cycles for Liénard systems
Keywords: دور محدود; Liénard equation; Limit cycles; Existence and uniqueness;
Center conditions and bifurcation of limit cycles at degenerate singular points in a quintic polynomial differential system
Keywords: دور محدود; 34A05; 34C05; Limit cycles; Degenerate singular point; Quintic differential system;
Cournot oligopolies with product differentiation under uncertainty
Keywords: دور محدود; Oligopolies; Uncertainty; Information lag; Bifurcation; Limit cycles;
The impact of mortality on predator population size and stability in systems with stage-structured prey
Keywords: دور محدود; Hydra effect; Limit cycles; Predation; Predator-prey models; Stability; Stage structure;
A perturbation-incremental method for strongly non-linear non-autonomous oscillators
Keywords: دور محدود; Limit cycles; Strongly non-linear non-autonomous oscillators; Frequency-response curve; Period-doubling bifurcation; Floquet method;
Mathematical analysis of the Tyson model of the regulation of the cell division cycle
Keywords: دور محدود; Cell cycle; Biochemical reactions; Limit cycles; Lienard's equation; Stability theory;