Chia-Hsing Nien

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All published works

Action	Title	Year	Authors
+	On a family of nonzero solutions to the heat equation ut = △u on ℝn+1 which vanish on an arbitrary n-dimensional hyperplane P ⊂ ℝn+1	2024	Dong-Ho Tsai Chia-Hsing Nien
+ PDF Chat	On space-time periodic solutions of the one-dimensional heat equation	2019	Dong-Ho Tsai Chia-Hsing Nien
+ PDF Chat	On the oscillation behavior of solutions to the one-dimensional heat equation	2019	Dong-Ho Tsai Chia-Hsing Nien
+	Classification of critical sets and their images for quadratic maps of the plane	2015	Chia-Hsing Nien Bruce B. Peckham Richard McGehee
+	Classification of critical sets and their images for quadratic maps of the plane	2015	Chia-Hsing Nien Bruce B. Peckham Richard McGehee
+	Convex curves moving translationally in the plane	2006	Chia-Hsing Nien Dong-Ho Tsai
+	An Algorithm for the Computation of Preimages in Noninvertible Mappings	1998	Chia-Hsing Nien Frederick J. Wicklin
+	The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set	1998	Chia-Hsing Nien

Common Coauthors

Coauthor	Papers Together
Dong-Ho Tsai	4
Richard McGehee	2
Bruce B. Peckham	2
Frederick J. Wicklin	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On Some Properties of Invariant Sets of Two-Dimensional Noninvertible Maps	1997	Christos E. Frouzakis Laura Gardini Ioannis G. Kevrekidis Gilles Millérioux Christian Mira	3
+	ON BEHAVIORS OF TWO-DIMENSIONAL ENDOMORPHISMS: ROLE OF THE CRITICAL CURVES	1993	Christian Mira Tony Narayaninsamy	3
+ PDF Chat	The heat equation shrinking convex plane curves	1986	Michael E. Gage Richard S. Hamilton	1
+ PDF Chat	Asymptotic behaviors of star-shaped curves expanding by $V=1-K$	2005	Hiroki Yagisita	1
+ PDF Chat	An expansion of convex hypersurfaces	1991	John Urbas	1
+ PDF Chat	Contraction of convex hypersurfaces by their affine normal	1996	Ben Andrews	1
+ PDF Chat	Geometric expansion of convex plane curves	1996	Bennett Chow Dong-Ho Tsai	1
+	Partial Differential Equations	2010	Lawrence Evans	1
+	Classification of limiting shapes for isotropic curve flows	2002	Ben Andrews	1
+	FRACTAL AGGREGATION OF BASIN ISLANDS IN TWO-DIMENSIONAL QUADRATIC NONINVERTIBLE MAPS	1995	C. Mira CHRISTINE RAUZY	1
+	On a coupled logistic map with large strength	2014	Neptalí Romero J. Silva Ramón Vivas	1
+ PDF Chat	Bifurcations from an invariant circle for two-parameter families of maps of the plane: A computer-assisted study	1982	D. G. Aronson M. A. Chory Glen R. Hall Richard McGehee	1
+	On quadratic symplectic mappings	1994	Jürgen Moser	1
+	Computational chaos-a prelude to computational instability	1989	Edward N. Lorenz	1
+	Noninvertibility and the structure of basins of attraction in a model adaptive control system	1991	Raymond A. Adomaitis Ioannis G. Kevrekidis	1
+	Perturbations of the quadratic family of order two	2001	Neptalí Romero A. Rovella F. Vilamajó	1
+	A Jacobian criterion for separability	1980	Stuart Sui-Sheng Wang	1
+ PDF Chat	A route to computational chaos revisited: noninvertibility and the breakup of an invariant circle	2003	Christos E. Frouzakis Ioannis G. Kevrekidis Bruce B. Peckham	1
+ PDF Chat	Expansions in terms of heat polynomials and associated functions	1959	P. C. Rosenbloom D. V. Widder	1
+	Evolving convex curves	1998	Ben Andrews	1
+	Complex dynamics in two-dimensional endomorphisms	1980	C. Mira	1
+	A NEW PROOF OF THE THEOREM ON THE STABILIZATION OF THE SOLUTION OF THE CAUCHY PROBLEM FOR THE HEAT EQUATION	1967	V. D. Repnikov Samuil D. Eidelman	1
+ PDF Chat	The Jacobian conjecture: Reduction of degree and formal expansion of the inverse	1982	Hyman Bass E. H. Connell David L. Wright	1
+ PDF Chat	Nonhomogeneous Gauss Curvature Flows	1998	Bennett Chow Dong-Ho Tsai	1
+	The Dynamics of Planar Quadratic Maps with Nonempty Bounded Critical Set	1998	Chia-Hsing Nien	1
+	BASIN BIFURCATIONS OF TWO-DIMENSIONAL NONINVERTIBLE MAPS: FRACTALIZATION OF BASINS	1994	C. Mira Danièle Fournier-Prunaret Laura Gardini Hiroshi Kawakami J Cathala	1
+ PDF Chat	A two-dimensional mapping with a strange attractor	1976	M. Hénon	1
+ PDF Chat	Dynamical properties of plane polynomial automorphisms	1989	Shmuel Friedland John Milnor	1
+ PDF Chat	A logarithmic Gauss curvature flow and the Minkowski problem	2000	Kai-Seng Chou Xu‐Jia Wang	1
+ PDF Chat	Convex curves moving homothetically by negative powers of their curvature	1999	John Urbas	1
+	On the Quadratic Endomorphisms of the Plane	2004	F. Bofill Jiménez Garrido F. Vilamajó Neptalí Romero A. Rovella	1
+	ISOPERIMETRIC ESTIMATES FOR THE CURVE SHRINKING FLOW IN THE PLANE	1996	Richard S. Hamilton	1
+ PDF Chat	Geometric aspects of Aleksandrov reflection and gradient estimates for parabolic equations	1997	Bennett Chow	1
+	On the oscillation behavior of solutions to the heat equation on <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mi>n</mml:mi></mml:mrow></mml:msup></mml:math>	2019	Mao-Sheng Chang Dong-Ho Tsai	1
+ PDF Chat	On space-time periodic solutions of the one-dimensional heat equation	2019	Dong-Ho Tsai Chia-Hsing Nien	1
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	1
+	PARTIAL DIFFERENTIAL EQUATIONS	1991		1
+	On Singularities of Mappings of Euclidean Spaces. I. Mappings of the Plane into the Plane	1955	Hassler Whitney	1
+	On the geometry of quadratic maps of the plane	2013	Jorge Delgado José Luis Garrido Serrano Neptalí Romero A. Rovella Francesc Vilamajó Capdevila	1
+ PDF Chat	The normalized curve shortening flow and homothetic solutions	1986	Uwe Abresch Joel Langer	1
+	On the Jacobian conjecture and the configurations of roots.	1983	M. Fried T. T. Moh R. Biggers	1
+ PDF Chat	The heat equation shrinks embedded plane curves to round points	1987	M. Grayson	1