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Hyper Catastrophe on 4-Dimensional Canards: 《Advances in Pure Mathematics》2024年第4期196-203,共8页Kiyoyuki Tchizawa Shuya Kanagawa; When discovering the potential of canards flying in 4-dimensional slow-fast system with a bifurcation parameter, the key notion “symmetry” plays an important role. It is of one parameter on slow vector field. Then, ...; 关键词：Canards Flying 4-Dimensional Slow-Fast System Hyper Catastrophe

Canards Flying on Bifurcation: 《Advances in Pure Mathematics》2023年第6期412-424,共13页Shuya Kanagawa Kiyoyuki Tchizawa; There exists a property “structural stability” for “4-dimensional canards” which is a singular-limit solution in a slow-fast system with a bifurcation parameter. It means that the system includes the possibility t...; 关键词：Canard Solution Slow-Fast System Nonstandard Analysis Hilbert’s 16th Problem Brownian Motion Stochastic Differential Equation

Structural Stability in 4-Dimensional Canards: 《Advances in Pure Mathematics》2022年第11期600-613,共14页Shuya Kanagawa Kiyoyuki Tchizawa; Let us consider higher dimensional canards in a sow-fast system R²⁺² with a bifurcation parameter. Then, the slow manifold sometimes shows various aspects due to the bifurcation. Introducing a key notion “...; 关键词：Canard Solution Slow-Fast System Nonstandard Analysis Hilbert’s 16th Problem Brownian Motion Stochastic Differential Equation

A review of dual-spin projectile stability被引量：3: 《Defence Technology（防务技术）》2020年第1期1-9,共9页James Norris Amer Hameed John Economou Simon Parker; sponsored by EPSRC ICASE Grant reference 1700064;BAE Systems。; This paper gives a succinct review of dual-spinprojectile stability and some technologies relating to them.It describes how the traditional stability factors from linear projectile theory are modified to better descri...; 关键词：Guided PROJECTILES Dual-spin Gyroscopic Dynamic STABILITY CANARDS

Impact point prediction guidance based on iterative process for dual-spin projectile with fixed canards被引量：6: 《Chinese Journal of Aeronautics》2019年第8期1967-1981,共15页Xin ZHANG Xiaoxian YAO Qiushi ZHENG; The fixed canards configuration of a dual-spin projectile makes it difficult to apply the traditional guidance law. In this study, a modified impact point prediction guidance strategy based on an iterative process was...; 关键词：Dual-spin PROJECTILE withfixed CANARDS GUIDANCE strategy Linear theory PROJECTILE characteristics Trajectory PREDICTION

Influence of control strategy on stability of dual-spin projectiles with fixed canards被引量：7: 《Defence Technology（防务技术）》2018年第6期709-719,共11页Yu Wang Xiao-ming Wang Ji-yan Yu; Existing literature has shown that the control force at the nose could cause dynamic instability for controlled projectiles. To lower the adverse impact on the dual-spin projectile with fixed canards under the premise...; 关键词：Dual-spin PROJECTILE Fixed CANARDS Control strategy Flight STABILITY

Extending Slow Manifold Near Generic Transcritical Canard Point: 《Acta Mathematicae Applicatae Sinica》2017年第4期989-1000,共12页Hai-bo LU Ming-kang NI Li-meng WU; Supported by the National Natural Science Foundation of China(No.71501130);Natural Science Foundation of Hebei Province(A2015407063); We consider the dynamics of planar fast-slow systems near generic transcritical type canard point. By using geometric singular perturbation theory combined with the recently developed blow-up technique, the existence ...; 关键词：singular perturbation transcritical bifurcation blow-up technique CANARDS

Modeling and Stability Analysis for Dual-Spinning Projectiles with Canards: 《Journal of Donghua University(English Edition)》2017年第5期670-676,共7页管军李新华易文俊常思江; National Natural Science Foundations of China(Nos.11472136,11402117); To develop the guided spin-stabilized projectiles with high hit precision,a class of dual-spinning stabilized projectile equipped with canards in atmospheric is studied.The 7 degrees of freedom(DOF) nonlinear equation...; 关键词：dual-spinning projectiles 7 degrees of freedom(DOF) nonlinear modeling stability analysis

On Canard Homoclinic of a Liénard Perturbation System: 《Applied Mathematics》2011年第10期1221-1224,共4页Makoto Hayashi; The classification on the orbits of some Liénard perturbation system with several parameters, which is relation to the example in [1] or [2], is discussed. The conditions for the parameters in order that the system h...; 关键词：Liénard SYSTEM CANARDS Limit Cycles HOMOCLINIC ORBITS Global ASYMPTOTIC Stability

New Canards Bursting and Canards Periodic-Chaotic Sequence: 《Chinese Physics Letters》2009年第7期58-61,共4页岳志锋徐健学张新华; Supported by Natural Science Foundation of China under Grant No 10432010.; A trajectory following the repelling branch of an equilibrium or a periodic orbit is called a canards solution. Using a continuation method, we find a new type of canards bursting which manifests itseff in an alternat...; 关键词：sea surface nonliear interaction numerical method

CANARDS