-
Article
Stochasticity near resonances in a kind of near-integrable Hamiltonian systems based on smale horseshoes
In this paper, a method is developed to detect the appearance of stochasticity in a kind of near-integrable Hamiltonian system with two time-scales. One is fast and the other slow. The stochasticity is showed ...
-
Article
A method to calculate period doubling bifurcation
Based on physical meaning of Melnikov function, we establish a method to calculate period doubling bifurcation and discuss this kind of bifurcation of soft spring Duffing system and find that the...
-
Article
Perturbation solution of the weak-nonlinear partial differential equation with δ-function
In this paper we extend the method which Liu Zheng-rong provided to the weak-nonlinear partial equation with δ-function.
-
Article
Discontinuous and impulsive excitation
In this paper, we study the solution of differential equation with Dirac function and Heaviside function, arising from discontinuous and impulsive excitation. Firstly, according to the theory of differential e.....
-
Article
Road to chaos for a soft spring system under weak periodic disturbance
The Mel'nikov-Holmes method is used to discuss the road to chaos for an elastic system with soft spring constant and under weak periodic disturbance. It is found that according to how the disturbance is applie...
-
Article
Chaotic phenomenon in catalytic reaction
In this paper, Melnikov's method is used to discuss a kind of equation governed by flickering on catalytic wires (gauzes) and in chemical reactor. By analysis on mathematics, we point out flickering phenomenon...
-
Article
Hopf bifurcation phenomenon in catalytic reaction
In this paper, we intend to discuss Hopf bifurcation phenomenon under the effect of the periodic small perturbation on local temperature fluctuations (flikering) phenomenon of catalytic reaction. With the obta...
-
Article
The exponential asymptotic solution of differential equation
In this paper, the exponential asymptotic solution (E.A.S.) of differential equation is discussed. Firstly, E.A.S. of the second-order differential equation is studied and the orthogonal conditions of the unif...
-
Article
The asymptotic solution of a kind of Stefan problem
In this paper, a kind of Stefan problem subject to general initial condition is studied. The slab considered is divided into three regions. There is a different time scale in each one. By means of PLK method o...
