Qualitative Theory of Dynamical Systems

Nondegenerate and Nilpotent Centers for a Cubic System of Differential Equations

New Homoclinic Orbits for Hamiltonian Systems with Asymptotically Quadratic Growth at Infinity

A New Formula to Get Sharp Global Stability Criteria for One-Dimensional Discrete-Time Models

Keplerian Orbits Through the Conley–Zehnder Index

Dynamical Behavior of Singular Traveling Waves of ($$\\hbox {n}+1$$n+1)-Dimensional Nonlinear Klein-Gordon Equation

Quantization of Non-standard Hamiltonians and the Riemann Zeros

On Non-ergodic Volterra Cubic Stochastic Operators

A Reeb Flow on the Three-Sphere Without a Disk-Like Global Surface of Section

A Remark on Sensitivity and Li–Yorke Sensitivity of Iterated Function Systems

The Extinction and Persistence of Tumor Evolution Influenced by External Fluctuations and Periodic Treatment

On Piecewise Linear Differential Systems with n Limit Cycles of Arbitrary Multiplicities in Two Zones

Limit Cycles of a Class of Discontinuous Planar Piecewise Linear Systems with Three Regions of Y-Type

Traveling Wave Solution of a Reaction–Diffusion Predator–Prey System

Integrability and Linearizability Problems of Three Dimensional Lotka–Volterra Equations of Rank-2

Hopf Bifurcations in a Predator–Prey Model with an Omnivore

Validated Numerics for Continuation and Bifurcation of Connecting Orbits of Maps

Global Existence and Singularity of the N-Body Problem with Strong Force

Global Dynamics of a Piecewise Smooth System for Brain Lactate Metabolism

Multiperiodicity to a Certain Delayed Predator–Prey Model

Neimark–Sacker Bifurcation with $$\\mathbb {Z}_n$$Zn-Symmetry and a Neural Application

Exact Solutions in Invariant Manifolds of Some Higher-Order Models Describing Nonlinear Waves

Bifurcation of Periodic Orbits of a Three-Dimensional Piecewise Smooth System

Non Hyperbolic Solenoidal Thick Bony Attractors

Correction to: On Stacked Planar Central Configurations with Five Bodies when One Body is Removed

Periodic Orbits of the Planar Anisotropic Manev Problem and of the Perturbed Hydrogen Atom Problem

Topological Conjugacy Between Induced Non-autonomous Set-Valued Systems and Subshifts of Finite Type

On the Uniqueness of Limit Cycles in a Generalized Liénard System

Singular Points of Polynomial Darboux Systems

Normalization of Hamiltonian and Nonlinear Stability of Triangular Equilibrium Points in the Photogravitational Restricted Three Body Problem with P–R Drag in Non-resonance Case

On the Minimality of Keplerian Arcs with Fixed Negative Energy

On Dynamics of Triangular Maps of the Square with Zero Topological Entropy

Correction to: On Families of Periodic Orbits in the Restricted Three-Body Problem

Higher Order Melnikov Functions for Studying Limit Cycles of Some Perturbed Elliptic Hamiltonian Vector Fields

Global Effect of Non-Conservative Perturbations on Homoclinic Orbits

On the Periodic Structure of the Anisotropic Manev Problem

Hyperbolicity via Evolution Semigroups on $$L^p$$Lp

Generalized Rings Around the McMullen Domain

On the Number of Zeros of Abelian Integral for a Class of Cubic Hamilton Systems with the Phase Portrait “Butterfly”

Periodic Orbits of Linear Filippov Systems with a Line of Discontinuity

Normal Forms of Planar Polynomial Differential Systems

Qualitative Analysis of Crossing Limit Cycles in a Class of Discontinuous Liénard Systems with Symmetry