지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
이용수
초록· 키워드
오류제보하기
In this paper, we study the dynamical bifurcation of the modified Swift-Hohenberg equation on a periodic interval as the system control parameter crosses through a critical number. This critical number depends on the period. We show that there happens the pitchfork bifurcation under the spatially even periodic condition. We also prove that in the general periodic condition the equation bifurcates to an attractor which is homeomorphic to a circle and consists of steady states solutions.
목차
등록된 정보가 없습니다.
참고문헌 (21)
참고문헌 신청
A. Doleman / 2003 / Propagation of hexagonal pat-terns near onset / Euro. J. Appl. Math 14 (9) : 85 ~ 110
H. Gao / 2010 / Bifurcation analysis of the 1D and 2D generalized Swift-Hohenberg equation / Internat. J. Bifur. Chaos Appl. Sci. Engrg 20 (3) : 619 ~ 643
J. Han / 2012 / Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition / Discrete Contin. Dyn. Syst. Ser. B 17 (7) : 2431 ~ 2449
J. P. Gollub / 1999 / Pattern formation in nonequilibrium physics / Rev. Mod. Phys 71 : 396 ~ 403
J. Swift / 1977 / Hydrodynamic fluctuations at the convective instability / Phys. Rev. A 15 : 319 ~
H. Gao / 2010 / Bifurcation analysis of the 1D and 2D generalized Swift-Hohenberg equation / Internat. J. Bifur. Chaos Appl. Sci. Engrg 20 (3) : 619 ~ 643
J. Han / 2012 / Dynamical bifurcation of the two dimensional Swift-Hohenberg equation with odd periodic condition / Discrete Contin. Dyn. Syst. Ser. B 17 (7) : 2431 ~ 2449
J. P. Gollub / 1999 / Pattern formation in nonequilibrium physics / Rev. Mod. Phys 71 : 396 ~ 403
J. Swift / 1977 / Hydrodynamic fluctuations at the convective instability / Phys. Rev. A 15 : 319 ~
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Dynamical Bifurcation of the Burgers-Fisher equation
한국수학논문집
2016 .01
-
Stability of bifurcating stationary periodic solutions of the generalized Swift--Hohenberg equation
대한수학회보
2023 .01
-
PROFITABILITY AND SUSTAINABILITY OF A TOURISM-BASED SOCIAL-ECOLOGICAL DYNAMICAL SYSTEM BY BIFURCATION ANALYSIS
대한수학회지
2017 .01
-
Backward bifurcation of an Sir-Si model with vaccination and treatment
Advanced Studies in Contemporary Mathematics
2019 .01
-
VARIATIONAL RESULT FOR THE BIFURCATION PROBLEM OF THE HAMILTONIAN SYSTEM
대한수학회보
2015 .01
-
Bifurcation analysis of a single species reaction-diffusion model with nonlocal delay
대한수학회지
2020 .01
-
Dynamics of a discrete ratio-dependent predator-prey system incorporating harvesting
East Asian Mathematical Journal
2015 .01
-
Almost periodic solutions of periodic second order linear evolution equations
한국수학논문집
2020 .01
-
Qualitative analysis of a general periodic system
대한수학회논문집
2018 .01
-
DYNAMICS OF A MODIFIED HOLLING-TANNER PREDATOR-PREY MODEL WITH DIFFUSION
JOURNAL OF THE KOREAN SOCIETY FOR INDUSTRIAL AND APPLIED MATHEMATICS
2019 .06
-
Bifurcation Characterization of Ferroresonance Modes in Power Transformer: Simulation and Experimental Analysis
Journal of Magnetics
2024 .09
-
A mathematical model of transmission of Plasmodium vivax malaria with a constant time delay from infection to infectious
대한수학회논문집
2019 .01
-
Time periodic solutions to a heat equation with linear forcing and boundary conditions
대한수학회지
2023 .03
-
Numerical study on successive period-doubling bifurcations of graphene wrinkles on a compliant substrate
한국진공학회 학술발표회초록집
2016 .08
-
Weak solutions for the Hamiltonian bifurcation problem
대한수학회보
2016 .01
-
Bifurcation problem for a class of quasilinear fractional Schr\"{o}dinger equations
대한수학회지
2020 .01
-
Dynamics of solutions for the three-dimensional stochastic globally modified Navier-Stokes equations on unbounded domains
대한수학회보
2024 .09
-
A Hopf bifurcation in an attraction-attraction chemotaxis system with global coupling
한국수학논문집
2023 .06
-
Nodal solutions for an elliptic equation in an annulus without the signum condition
대한수학회보
2020 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0