Keywords: 05.45.Ac; 02.30.Hq; 05.45.-a; Parametrically excited pendulum; Bistable characteristics; SD oscillator; Mathieu equation; Chaos;
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Continuation of oscillatory patterns in a road traffic model of three cars
Keywords: 37N30; 34C23; 65P30; 89.40.âa; 89.75.Kd; 02.30.Hq; 02.20.Hj; Road traffic; Microscopic models; Overtaking; Piecewise smooth dynamics; Path-following;
Homoclinical structure of the chaotic attractor
Keywords: 02.30.Hq; 05.45.JnRelay differential equations; Hyperbolic sets; Homoclinic solutions; Heteroclinic solutions
Continuous-time image reconstruction using differential equations for computed tomography
Keywords: 02.30.Hq; 02.30.Zz; 05.45.-a; 87.57.nf; 87.57.Q-; 07.50.Ek; 84.30.-rIll-posed inverse problem; Continuous-time image reconstruction; Differential equation; Computed tomography; Electronic circuit
Control of the new 4th-order hyper-chaotic system with one input
Keywords: 05.45.Ac; 05.45.Gg; 02.30.Hq; 05.45.PqLü system; Lorenz system; Chaos control; Lyapunov method
Positive solutions of nonlinear m-point BVP for an increasing homeomorphism and positive homomorphism with sign changing nonlinearity on time scales
Keywords: 02.30.Hq; 02.30.Sa; 02.30.RzTime scale; Positive solutions; Boundary value problem; Fixed point theorems; Increasing homeomorphism and positive homomorphism
A simple approach to nonlinear oscillators
Keywords: 02.30.Hq; 05.45.-a; 82.20.WtNonlinear oscillator; Period solution; Amplitude-frequency relationship
Solution of the MHD Falkner-Skan flow by Hankel-Padé method
Keywords: 02.30.Hq; 02.30.Mv; 02.60.Lj; 47.15.Cb; Boundary layer flow; Magnetohydrodynamic (MHD) flow; Padé approximation; Hankel-Padé method; Crocco's transformation;
Uniformization of the density in reacting magnetohydrodynamic flows
Keywords: 02.30.Hq; 52.25.Jm; 52.30.Ex; 82.33.XjIonization and recombination of plasmas; Continuity equation
Two new solutions to the third-order symplectic integration method
Keywords: 02.60.Lj; 02.30.Hq; 02.60.Jh; 45.10.-bSymplectic integrator; Ruth's method; Hamiltonian system; Computational acoustics
Solution of prey–predator problem by numeric–analytic technique
Keywords: 02.30.Hq; 02.30.Mv; 02.60.Cb; 02.60.LjAdomian decomposition method; Non-linear ODEs; Prey–predator problem
Links between some (2Â +Â 1)-dimensional nonlinear evolution equations and Painlevé-II equations
Keywords: 04.20.Jb; 02.30.Jr; 02.30.Hq; The second Painlevé equation; Rational solution; Bäcklund transformation; (2Â +Â 1)-Dimensional nonlinear evolution equations;
On structure-preserving point transformations of differential equations
Keywords: 02.30.-f; 02.20.Tw; 02.30.Hq; Determination methods; Equivalence transformations; Fundamental invariants; Symmetry generator; Linear equations;
The homotopy analysis method for multiple solutions of nonlinear boundary value problems
Keywords: 02.30.Hq; 02.60.Lj; 82.20.NKReaction-diffusion model; Dual solutions; Homotopy analysis method; Base functions; Auxiliary parameter; Initial approximation
Design of practical sliding-mode controllers with constant switching frequency for power converters
Keywords: 84.30.Jc; 02.30.Yy; 07.05.Dz; 07.50.Ek; 47.27.ed; 02.30.Hq; 01.50.MyPower converters; Sliding-mode control; Pulse-width modulation; Nonlinear systems; Discontinuous control
Suppression of hysteresis in a forced van der Pol–Duffing oscillator
Keywords: 02.30.Hq; 02.30.Oz; 02.30.Mv; 46.40.FfHysteresis suppression; Frequency locking; High-frequency excitation; Perturbation analysis
Devaney's chaos of a relay system
Keywords: 02.30.Hq; 05.45.Jn; Differential equations with a pulse function; Hyperbolic system; Non-autonomous chaos; Devaney's ingredients of chaos; Chaotic attractor;
Numerical simulations of collision behaviors of optical solitons in birefringent fibres
Keywords: 02.30.Hq; 02.30.Ik; 02.30.JrCoupled nonlinear Schrödinger system; Multi-symplectic spectral method; Multi-symplectic structure; Collisions of solitons
Robustness of interval gene networks with multiple time-varying delays and noise
Keywords: 02.30.Hq; 87.10.++eGene networks; Linear matrix inequalities
Existence of positive periodic solutions for functional differential equations with impulse effects on time scales
Keywords: 02.30.Hq; 02.30.KsFunctional differential equation; Impulse; Positive periodic solutions; Time scales; Strict-set-contraction
Quasi-periodic solutions and periodic bursters in quasiperiodically driven oscillators
Keywords: 02.30.Hq; 02.30.Oz; 45.10.HjQuasi-periodic solutions; Periodic burster
Dynamics and stability of volume-scavenging drop arrays: Coarsening by capillarity
Keywords: 02.30.Hq; 47.20.Dr; 47.20.Ky; 64.90.+bInvariant manifolds; Coarsening; Unisignant; Surface tension; Stability; Drops; Bubbles; Networks
Efficient computation of high index Sturm–Liouville eigenvalues for problems in physics
Keywords: 02.30.Hq; 02.60.Lj; 02.60.Jh; 03.65.-wSturm–Liouville; Schrödinger; Eigenvalue; Shooting
Effect of fast harmonic excitation on frequency-locking in a van der Pol–Mathieu–Duffing oscillator
Keywords: 02.30.Hq; 02.30.Oz; 02.30.Mv; 46.40.FfFast excitation; Self-excitation; Parametric forcing; Frequency-locking
Homotopy analysis method for singular IVPs of Emden–Fowler type
Keywords: 02.60.Lj; 02.30.Hq; 02.30.Mv; 02.60.CbHomotopy analysis method; Lane–Emden equation; Emden–Fowler equations; Singular IVPs
Homotopy analysis method for fractional IVPs
Keywords: 02.30.Hq; 02.30.Mv; 02.60.CbFractional IVPs; Homotopy analysis method; Caputo’s fractional derivative
Finite-time information consensus for multi-agent systems with fixed and switching topologies
Keywords: 02.30.Yy; 02.30.Hq; 45.80.+r; 45.50.-jMulti-agent systems; Collective behavior; Nonlinear interaction function; Finite-time consensus
Analysis of a Leslie–Gower-type prey–predator model with periodic impulsive perturbations
Keywords: 87.23.Cc; 02.30.Hq; 02.60.CbLeslie–Gower; Impulsive perturbation; Holling-type II; Extinction; Permanence; Bifurcation
Modified homotopy analysis method for solving systems of second-order BVPs
Keywords: 02.60.Lj; 02.30.Hq; 02.30.Mv; 02.60.CbBoundary-value problems; Homotopy analysis method; Modified homotopy analysis method
On some testable conditions for excitability and transparency of a class of time-delay systems with point delays
Keywords: 02.30.Hq; 02.30.Ks; 02.30.Yy; 02.30.Rz; 02.30.TbExcitable systems; Positive systems; Point delays; Time-delay systems; Transparency
Dynamics of three coupled limit cycle oscillators with application to artificial intelligence
Keywords: 02.30.Hq; 07.05.Mh; 07.10.CmMEMS oscillators; Associative memory; Phase-locked motion; Coupled oscillators
On a new reliable modification of homotopy analysis method
Keywords: 02.60.Lj; 02.30.Hq; 02.30.Mv; 02.60.CbHomotopy analysis method; Modified homotopy analysis method; Non-linear equations
Bifurcations of mixed-mode oscillations in a stellate cell model
Keywords: 02.30.Hq; 02.30.Oz; 87.19.lnStellate cell; Canard; Folded node; Mixed-mode oscillation; Relaxation oscillation
Non-integrability of the Anisotropic Stormer Problem and the Isosceles Three-Body Problem
Keywords: 02.30.Hq; 02.30.Ik; 45.20.Jj; Anisotropic Stormer problem; Isosceles Three-Body Problem; Non-integrability; Differential Galois group;
Magnus’ expansion for time-periodic systems: Parameter-dependent approximations
Keywords: 02.30.Hq; 02.30.Mv; 02.60.Lj; 02.70.WzMagnus expansion; Time-periodic systems; Chebyshev polynomials
Exponential stability preservation in semi-discretisations of BAM networks with nonlinear impulses
Keywords: 39A12; 65Q05; 92B2007.05.Mh; 02.30.Hq; 02.60.Jh; 02.70.BfSemi-discretisation; Discrete-time analogue; Nonlinear impulses; Exponential stability preservation
The Magnus expansion and some of its applications
Keywords: 03.65; 02.30.Hq; 02.60.Cb; 02.20.Rt;
A butterfly-shaped localization set for the Lorenz attractor
Keywords: 05.45.Ac; 02.30.Hq; Lorenz attractor; Localization set; Lyapunov method; Lagrange multiplier method;
The analysis on the single particle model of CDW
Keywords: 71.45.Ir; 02.30.Hq; Charge-density wave (CDW); Pendulum; Rotated vector field; Periodic solution; Narrow-band noise; Grüner's equation;
Approximate solutions of singular two-point BVPs by modified homotopy analysis method
Keywords: 02.60.Lj; 02.30.Hq; 02.30.Mv; 02.60.CbModified homotopy analysis method; Singular two-point boundary value problems; Series solutions
The generalized Yablonskii-Vorob'ev polynomials and their properties
Keywords: 02.30.Hq; Special polynomials; Painlevé equations; Rational solutions; Differential-difference relations;
Reduction of systems of first-order differential equations via Î-symmetries
Keywords: 02.20.Sv; 02.30.Hq; λ-symmetries; Reduction procedures; Dynamical systems;
Iterative approximation of limit cycles for a class of Abel equations
Keywords: 02.30.Hq; 02.30.Mv; 0.30.Sa; 02.30. YyAbel equations; Limit cycles; Analytical approximations; Contractive mapping theorem
Application of differential transform method to non-linear oscillatory systems
Keywords: 02.30.Hq; 02.30.Gp; 02.06.−xDifferential transform; Padé approximation; Laplace transform; Oscillatory equations
Dynamics of four coupled phase-only oscillators
Keywords: 02.30.Hq; 07.05.Mh; 07.10.CmMEMS oscillators; Nonisolated equilibria; Phase-locked motion
Permanence of a nonlinear integro-differential prey-competition model with infinite delays
Keywords: 34C25; 92D25; 34D20; 34D40; 02.30.Hq; Nonautonomous; Prey-competition; Integro-differential; Infinite delay;
Initial-oblique derivative problem for nonlinear parabolic systems in high dimensional domains
Keywords: 35K15; 35K20; 35K60; 02.30.Hq; 02.60.Lj; Initial-oblique derivative problem; Nonlinear parabolic systems; High dimensional domains;
KANTBP 2.0: New version of a program for computing energy levels, reaction matrix and radial wave functions in the coupled-channel hyperspherical adiabatic approach
Keywords: 02.30.Hq; 02.60.Jh; 02.60.Lj; 03.65.Nk; 31.15.Ja; 31.15.Pf; 34.50.-s; 34.80.BmEigenvalue and multi-channel scattering problems; Kantorovich method; Finite element method; R-matrix calculations; Hyperspherical coordinates; Multi-channel adiabatic approxima
Applications of the extended tanh method for coupled nonlinear evolution equations
Keywords: 02.30.Jr; 02.30.Hq; 02.70.WzExtended tanh method; Coupled Hirota–Satsuma–KdV equation; Drinfeld–Sokolov equation; (2 + 1)-Dimensional Konopelchenko–Dubrovsky equation
Solving systems of ODEs by homotopy analysis method
Keywords: 02.30.Hq; 02.30.Mv; 02.60.CbNonlinearity; Stiff system; Matrix Riccati differential equation; Genesio system; Homotopy analysis method