"""Create error_monitor
Generated by Phi-Octopus Eden
2025-11-08 01:57:24.400189
"""

```python
from typing import Any, Dict


class ErrorMonitor:
    """
    A class for monitoring and handling errors in a system.
    
    Attributes:
        errors (Dict[str, list]): A dictionary to store error messages categorized by type.
        
    Methods:
        log_error: Logs an error message with its timestamp and type.
        handle_critical_errors: Handles critical errors by attempting recovery actions.
        clean_up_resources: Cleans up resources after a graceful shutdown or crash.
    """
    
    def __init__(self):
        self.errors = {}
    
    def log_error(self, error_type: str, message: str) -> None:
        """
        Logs an error with the given type and message into the errors dictionary.

        Args:
            error_type (str): The type of the error.
            message (str): The detailed description of the error.
        """
        if error_type not in self.errors:
            self.errors[error_type] = []
        self.errors[error_type].append(message)
    
    def handle_critical_errors(self, critical_types: list) -> None:
        """
        Handles critical errors by attempting recovery actions.

        Args:
            critical_types (list): A list of error types that are considered critical.
        """
        for error_type in critical_types:
            if self.errors.get(error_type):
                print(f"Handling critical {error_type} errors:")
                for message in self.errors[error_type]:
                    print(message)
                
                # Example recovery action: attempt to restart a service
                self.attempt_recovery_action()
    
    def clean_up_resources(self) -> None:
        """
        Cleans up resources after a graceful shutdown or crash.
        
        This method is meant to be called when the system is shutting down gracefully,
        and it should release any held resources, such as database connections or file handles.
        """
        print("Cleaning up resources...")
    
    def attempt_recovery_action(self) -> None:
        """
        Attempts a recovery action for critical errors. This is a placeholder function
        to demonstrate how you might implement specific recovery actions in your system.

        Note: In a real-world scenario, this would involve more complex logic and possibly external services.
        """
        print("Attempting recovery action...")


# Example usage:
if __name__ == "__main__":
    error_monitor = ErrorMonitor()
    
    # Simulate logging errors
    error_monitor.log_error("Network", "Connection timed out")
    error_monitor.log_error("Database", "Query failed: Timeout exceeded")
    
    # Handle critical errors
    critical_types = ["Network", "Database"]
    error_monitor.handle_critical_errors(critical_types)
    
    # Clean up resources before shutting down the system
    error_monitor.clean_up_resources()
```